publication . Preprint . 2009

Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups

Murray, Scott H.; Saunders, Neil;
Open Access English
  • Published: 19 Jun 2009
Abstract
The minimal faithful permutation degree of a finite group $G$, denote by $\mu(G)$ is the least non-negative integer $n$ such that $G$ embeds inside the symmetric group $\Sym(n)$. In this paper, we outline a Magma proof that 10 is the smallest degree for which there are groups $G$ and $H$ such that $\mu(G \times H) < \mu(G)+ \mu(H)$.
Subjects
free text keywords: Mathematics - Group Theory, 20B35
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